Higher June 2023 Paper 2R Q10
10 Gemara works as a taxi driver.
Last week, he recorded the following information about the distances he drove.
For the 5 days from Monday to Friday, the mean number of kilometres he drove was 104
For the 7 days from Monday to Sunday, the mean number of kilometres he drove was 127
On Saturday, Gemara drove 132 kilometres.
Work out the number of kilometres he drove on Sunday.
(3)
| Scheme | Marks |
|---|---|
104 × 5 (= 520) or 127 × 7 (= 889) or \(\dfrac{\text{m+tu+w+th+f}}{5} = 104\) oe | M1 |
“889” – “520” – 132 or “369” – 132 or \(\dfrac{\text{``}520\text{''} + 132 + x}{7} = 127\) oe or \(\dfrac{132 + x}{2} = \dfrac{369}{2}\) oe \(652 + x = 127 \times 7\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 237 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: (\(x\) = Sunday)